Mathematics and Beauty

In this book the authors outline the views of a philosopher, a cognitive scientist, a psychologist, and a mathematician, and a theologian on the topic of the relationship between beauty and mathematics, its importance and what it reveals to us. The monograph outlines the dual role of mathematics in relation to beauty. On one hand mathematics refers to an objective, through mathematical formulas expressible side of beauty. On the other hand, it points out that entirely abstract things like mathematical equations can be seen as beautiful, too. This refers to two aspects of beauty. 1. The biological, evolutionary: our brains react to certain aesthetic stimuli in scientifically adequately explainable way. 2. Philosophical spiritual: This shows a connection of beauty with goodness and being. To such a perception we can mature. Handed down wisdom can be mentioned as a hint: You cannot find beauty, if you don't carry it in yourself. Such an analysis can help us understand why we use the word beauty in so many different ways. Inhaltsverzeichnis Let None but the Geometric Enter Here - Mathematics as Seeking Symmetry - Beauty as a Calculation - Philosophical Questions Associated With the Mathematics of Beauty - Biological Sources of Mathematical and Artistic Beauty - The Metaphysical Meaning of Beauty - Learning to Perceive - Fascinated by Ideas